{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f04dd603-a2d1-48ce-8c17-9f1dba8de1ee",
   "metadata": {},
   "source": [
    "Chapter 10\n",
    "\n",
    "# 使用scikit-learn完成二元线性回归\n",
    "《线性代数》 | 鸢尾花书：数学不难"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccafb456-2453-4c82-8a65-b1963a370cb2",
   "metadata": {},
   "source": [
    "这段代码完整地实现了一个**二维输入变量的多元线性回归建模与三维可视化过程**。我们从数学角度深入剖析它的意义与实现逻辑，尤其关注数据生成、模型拟合和几何解释。\n",
    "\n",
    "---\n",
    "\n",
    "首先，代码通过以下公式生成 $100$ 个带噪声的二维样本数据：\n",
    "\n",
    "$$\n",
    "x = \\begin{bmatrix} x_{11} & x_{12} \\\\ x_{21} & x_{22} \\\\ \\vdots & \\vdots \\\\ x_{n1} & x_{n2} \\end{bmatrix} \\in \\mathbb{R}^{n \\times 2}, \\quad n=100\n",
    "$$\n",
    "\n",
    "响应变量 $y$ 是 $x_1, x_2$ 的线性组合加上高斯噪声 $\\varepsilon$：\n",
    "\n",
    "$$\n",
    "y_i = -3x_{i1} + 2x_{i2} + 1 + \\varepsilon_i, \\quad \\varepsilon_i \\sim \\mathcal{N}(0, 0.25^2)\n",
    "$$\n",
    "\n",
    "这等价于生成一个**真实模型为**\n",
    "\n",
    "$$\n",
    "y = \\beta_1 x_1 + \\beta_2 x_2 + \\beta_0 + \\varepsilon, \\quad \\text{其中} \\ \\beta_1 = -3,\\ \\beta_2 = 2,\\ \\beta_0 = 1\n",
    "$$\n",
    "\n",
    "---\n",
    "\n",
    "随后，代码调用 `sklearn.linear_model.LinearRegression` 模型对 $x_1, x_2$ 与 $y$ 之间的关系进行建模。这一步本质上是在求解如下的最小二乘问题：\n",
    "\n",
    "$$\n",
    "\\min_{\\beta_0, \\beta_1, \\beta_2} \\sum_{i=1}^n (y_i - \\hat{y}_i)^2, \\quad \\text{其中} \\ \\hat{y}_i = \\beta_0 + \\beta_1 x_{i1} + \\beta_2 x_{i2}\n",
    "$$\n",
    "\n",
    "其解为解析形式的正规方程：\n",
    "\n",
    "$$\n",
    "\\boldsymbol{\\beta} = (\\mathbf{X}^\\top \\mathbf{X})^{-1} \\mathbf{X}^\\top \\mathbf{y}\n",
    "$$\n",
    "\n",
    "其中，$\\mathbf{X} \\in \\mathbb{R}^{n \\times 3}$ 是加入截距项后的设计矩阵，每行为 $[1, x_{i1}, x_{i2}]$。在 `sklearn` 中，该过程自动完成，并返回：\n",
    "\n",
    "- $\\texttt{slope} = [\\beta_1, \\beta_2]$\n",
    "- $\\texttt{intercept} = \\beta_0$\n",
    "\n",
    "它们共同确定了一个**二维平面**在三维空间中的位置和方向。\n",
    "\n",
    "---\n",
    "\n",
    "可视化部分的核心思想是通过一个二维网格：\n",
    "\n",
    "$$\n",
    "(x_1, x_2) \\in [-3, 3] \\times [-3, 3]\n",
    "$$\n",
    "\n",
    "生成 100 个待预测点 $X_{\\text{grid}}$，预测其对应的响应值：\n",
    "\n",
    "$$\n",
    "\\hat{y}_{\\text{grid}} = \\beta_0 + \\beta_1 x_1 + \\beta_2 x_2\n",
    "$$\n",
    "\n",
    "最后，将原始样本点和预测得到的回归平面 $\\hat{y} = \\beta_0 + \\beta_1 x_1 + \\beta_2 x_2$ 一起绘制在三维坐标系中。\n",
    "\n",
    "---\n",
    "\n",
    "总结而言，这段代码实现了如下数学流程：\n",
    "\n",
    "1. 构造了一个包含噪声的线性模型：$y = -3x_1 + 2x_2 + 1 + \\varepsilon$\n",
    "2. 使用最小二乘方法估计参数 $\\hat{\\beta}_0, \\hat{\\beta}_1, \\hat{\\beta}_2$\n",
    "3. 将估计得到的回归平面 $\\hat{y} = \\hat{\\beta}_0 + \\hat{\\beta}_1 x_1 + \\hat{\\beta}_2 x_2$ 可视化出来\n",
    "\n",
    "这使我们能够**从三维角度直观理解回归模型的拟合效果**，并验证所学参数与真实生成机制的一致性。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ba4d32c-45d5-4c2a-a046-a1df96bae9da",
   "metadata": {},
   "source": [
    "## 初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "37ccbdcc-0c10-42a5-b70f-3902bbb732cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0182831-6667-4a52-a9f5-c3aca93385cf",
   "metadata": {},
   "source": [
    "## 创建数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d6fa5522-e070-4215-85f9-30504291cc91",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 随机生成数据集\n",
    "np.random.seed(0)\n",
    "n_samples = 100\n",
    "x_12 = np.random.randn(n_samples, 2)\n",
    "y = -3 * x_12[:,0] + 2 * x_12[:,1] + 1 + 0.25*np.random.randn(n_samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0ce43e1-ce35-4eff-a7ca-1e79b1942ba9",
   "metadata": {},
   "source": [
    "## 创建线性回归模型并拟合数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "be185ed0-8b5d-41a4-847c-2f693918ef78",
   "metadata": {},
   "outputs": [],
   "source": [
    "LR = LinearRegression()\n",
    "y_predicted = LR.fit(x_12, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "954b7525-dcef-47cb-af13-40c741ca3891",
   "metadata": {},
   "outputs": [],
   "source": [
    "slope = LR.coef_ # 斜率\n",
    "intercept = LR.intercept_ # 截距"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "24ffc124-1f04-427c-93a3-c0567e4bacb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-2.97238377,  1.98649073])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "slope"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e1f359e4-f9cb-4d96-8153-28728dd98055",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9871472187028183"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "intercept"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74fa3bd3-c928-474e-aec0-48ea6f99c364",
   "metadata": {},
   "source": [
    "## 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "01518959-9155-4882-b7dd-1ad35cea71aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "# 绘制三维样本散点\n",
    "ax.scatter(x_12[:,0], x_12[:,1], y, marker = 'x')\n",
    "\n",
    "# 生成回归平面的数据点\n",
    "x1_grid, x2_grid = np.meshgrid(np.linspace(-3, 3, 10), \n",
    "                               np.linspace(-3, 3, 10))\n",
    "X_grid=np.column_stack((x1_grid.flatten(),x2_grid.flatten()))\n",
    "\n",
    "# 预测回归平面上的响应变量\n",
    "y_pred = LR.predict(X_grid)\n",
    "y_pred = y_pred.reshape(x1_grid.shape)\n",
    "\n",
    "# 绘制回归平面\n",
    "ax.plot_wireframe(x1_grid, x2_grid, y_pred, colors = 'r')\n",
    "\n",
    "ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')\n",
    "ax.set_zlabel('y')\n",
    "ax.set_xlim([-3,3]); ax.set_ylim([-3,3])\n",
    "ax.set_zlim([-15,15])\n",
    "ax.set_proj_type('ortho'); ax.view_init(azim=-120, elev=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "48fe17a8-ba29-424d-9916-d83473e109ef",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "070c3389-8048-43a3-baa7-6666009bce96",
   "metadata": {},
   "source": [
    "作者\t**生姜DrGinger**  \n",
    "脚本\t**生姜DrGinger**  \n",
    "视频\t**崔崔CuiCui**  \n",
    "开源资源\t[**GitHub**](https://github.com/Visualize-ML)  \n",
    "平台\t[**油管**](https://www.youtube.com/@DrGinger_Jiang)\t\t\n",
    "\t\t[**iris小课堂**](https://space.bilibili.com/3546865719052873)\t\t\n",
    "\t\t[**生姜DrGinger**](https://space.bilibili.com/513194466)  "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
